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Finding the Fourth Proportional to 12,381.67, 17,086.56 and 6,716.31

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Solution

The fourth proportional to 12,381.67, 17,086.56 and 6,716.31 is: 9,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.67 : 17,086.56 = 6,716.31 : x
  2. Step 2: Convert to fraction form
    12,381.67/17,086.56 = 6,716.31/x
  3. Step 3: Cross multiply
    12,381.67x = 17,086.56 × 6,716.31
  4. Step 4: Simplify right side
    12,381.67x = 114,758,633.79
  5. Step 5: Solve for x
    x = 114,758,633.79/12,381.67
  6. Step 6: Final answer
    x = 9,268.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.